The complex dynamics of an increasing number systems is attributed to the emergence a rugged energy landscape with exponential metastable states. To develop this picture into predictive dynamical theory, I discuss how compute exponentially small probability jump from one state another. This expressed as path integral that can be evaluated by saddle-point methods in mean-field models, leading bo...

applications of nonlinear dynamics model and design of complex systems understanding complex systems PDF predicting the future completing models of observed complex systems understanding complex systems PDF emergent properties in natural and artificial dynamical systems understanding complex systems PDF principles of systems science understanding complex systems PDF frequency domain analysis an...

The concept of “large scale” depends obviously on the phenomenon we are interested in. For example, in the field of foundation of Thermodynamics from microscopic dynamics, the spatial and time large scales are order of fraction of millimetres and microseconds, respectively, or lesser, and are defined in relation to the spatial and time scales of the microscopic systems. In large scale oceanogra...

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get an insight of phenomena that emerge from complex interactions, we need instruments that can analyze complex interactions of many parts simultaneously. Here, a simulator modeling different type of econo...

today we are facing with a turbulent world full of complexity and change. contemporary problems are too complicated for rational, logical solutions. they admit insights, not answers. chaos theory is a solution to reveal insights into the structure and the dynamics of complex systems. chaos theory is in formative stage, but we can use it in management practices. this article is about application...

the long term goal attaining of economic system management requires the establishment of a dynamic framework to integrate multiple perspectives. this article considers the problem of economic development in macro level. as economic systems are complex adaptive systems composed of numerous numbers of components of dynamic and multidimensional nature, dynamics method is applied in this research. ...